Least Common Multiple of 5973 and 5981

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5973 and 5981 the smallest integer that is 35724513 that is divisible by both numbers.

Least Common Multiple (LCM) of 5973 and 5981 is 35724513.

LCM(5973,5981) = 35724513

LCM of 5973 and 5981

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 5973 and 5981

LCM of 5973 and 5981 is 35724513

Least common multiple can be found by multiplying the highest exponent prime factors of 5973 and 5981. First we will calculate the prime factors of 5973 and 5981.

Prime Factorization of 5973


3 5973
11 1991
181 181
1

Prime factors of 5973 are 3, 11,181. Prime factorization of 5973 in exponential form is:

5973 = 31×111×1811

Prime Factorization of 5981


5981 5981
1

Prime factors of 5981 are 5981. Prime factorization of 5981 in exponential form is:

5981 = 59811

Now multiplying the highest exponent prime factors to calculate the LCM of 5973 and 5981.

LCM(5973,5981) = 31×111×1811×59811
LCM(5973,5981) = 35724513

Factors of 5973

List of positive integer factors of 5973 that divides 5973 without a remainder.

1, 3, 11, 33, 181, 543, 1991, 5973

Factors of 5981

List of positive integer factors of 5981 that divides 5981 without a remainder.

1, 5981

Least Common Multiple of 5973 and 5981 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5973 and 5981, than apply into the LCM equation.

GCF(5973,5981) = 1
LCM(5973,5981) = ( 5973 × 5981) / 1
LCM(5973,5981) = 35724513 / 1
LCM(5973,5981) = 35724513

Properties of LCM 5973 and 5981

(i) The LCM of 5981 and 5973 is associative

LCM of 5973 and 5981 = LCM of 5981 and 5973

Related Least Common Multiples of 5973

Related Least Common Multiples of 5981

Frequently Asked Questions on LCM of 5973 and 5981

1. What is the LCM of 5973 and 5981?

Answer: LCM of 5973 and 5981 is 35724513.

2. What are the Factors of 5973?

Answer: Factors of 5973 are 1, 3, 11, 33, 181, 543, 1991, 5973. There are 8 integers that are factors of 5973. The greatest factor of 5973 is 5973.

3. What are the Factors of 5981?

Answer: Factors of 5981 are 1, 5981. There are 2 integers that are factors of 5981. The greatest factor of 5981 is 5981.

4. How to Find the LCM of 5973 and 5981?

Answer:

Least Common Multiple of 5973 and 5981 = 35724513

Step 1: Find the prime factorization of 5973

5973 = 3 x 11 x 181

Step 2: Find the prime factorization of 5981

5981 = 5981

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 35724513 = 3 x 11 x 181 x 5981

Step 4: Therefore, the least common multiple of 5973 and 5981 is 35724513.